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During the last three decades, non-standard statistics for indistinguishable quantum particles has attracted broad attentions and research interests from many institutions. Among these new types of statistics, the q-deformed Bose and Fermi…

Statistical Mechanics · Physics 2019-10-01 Xun Huang , Xu-Yang Hou , Yan Gong , Hao Guo

The $q$-deformed statistics for fermions arising within the non-extensive thermostatistical formalism has been applied to the study of various quantum many-body systems recently. The aim of the present note is to point out some subtle…

Statistical Mechanics · Physics 2014-11-21 J. M. Conroy , H. G. Miller , A. R. Plastino

An outstanding idea originally introduced by Greenberg is to investigate whether there is equivalence between intermediate statistics, which may be different from anyonic statistics, and q-deformed particle algebra. Also, a model to be…

Statistical Mechanics · Physics 2012-05-07 Abdullah Algin , Mustafa Senay

We study the thermostatistics of q-deformed bosons and fermions obeying the symmetric algebra and show that it can be built on the formalism of q-calculus. The entire structure of thermodynamics is preserved if ordinary derivatives are…

Statistical Mechanics · Physics 2009-11-07 A. Lavagno , P. Narayana Swamy

In recent decades, there have been increasing interests in quantum statistics beyond the standard Fermi-Dirac and Bose-Einstein statistics, such as the fractional statistics, quon statistics, anyon statistics and quantum groups, since they…

Statistical Mechanics · Physics 2018-12-26 Xu-Yang Hou , Xun Huang , Yan He , Hao Guo

We construct the thermodynamic geometry of an ideal q-deformed boson and fermion gas. We investigate some thermodynamic properties such as the stability and statistical interaction. It will be shown that the statistical interaction of…

Statistical Mechanics · Physics 2012-01-30 Behrouz Mirza , Hosein Mohammadzadeh

Based on the q-deformed oscillator algebra, we study the behavior of the mean occupation number and its analogies with intermediate statistics and we obtain an expression in terms of an infinite continued fraction, thus clarifying…

Statistical Mechanics · Physics 2010-09-29 A. Lavagno , P. Narayana Swamy

We study the temperature dependence of meson screening masses in two-flavour lattice QCD using dynamical truncated overlap fermions (TOF), a type of lattice chiral fermions. The screening masses for the $\pi$, $\rho$, $a_1$, $a_0$, and the…

High Energy Physics - Lattice · Physics 2026-05-11 S. Date , Y. Murakami , M. Sekiguchi , H. Wada , M. Wakayama

In this paper, we formulate a q-deformed many-body theory for the relativistic Fermi gas and discuss the effects of the deformation parameter q on physical properties of such systems. Since antiparticle excitations appear in the…

High Energy Physics - Theory · Physics 2020-11-26 Xu-Yang Hou , H. Yan , Hao Guo

We study the effect of finite temperatures and Fermion density on the effective pseudo-scalar-photon vertex induced by the triangle diagram. The manifestly covariant calculations show that when the pseudo-scalar mass is much less than the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Sourendu Gupta , S. N. Nayak

In this article, after introducing a kind of q-deformation in quantum mechanics, first, q-deformed form of Dirac equation in relativistic quantum mechanics is derived. Then three important scat erring problem in physics are studied. All…

High Energy Physics - Theory · Physics 2016-12-28 Hadi Sobhani , Won Sang Chung , Hassan Hassanabadi

The theory of Fermion oscillators has two essential ingredients: zero-point energy and Pauli exclusion principle. We devlop the theory of the statistical mechanics of generalized q-deformed Fermion oscillator algebra with inclusion…

Quantum Physics · Physics 2007-05-23 P. Narayana Swamy

Electron degeneracy effects are dominant in ultra-dense plasmas (UDP), such as those found in white dwarfs. These effects can be treated systematically by obtaining an expansion of the screening length in inverse powers of $\hbar^{2}$. The…

Astrophysics · Physics 2007-05-23 Shirish M. Chitanvis

We present results on the thermodynamic and continuum limit of meson screening masses in the deconfined phase, using standard staggered and non-perturbatively clover-improved Wilson fermions in the quenched approximation with light quark…

High Energy Physics - Lattice · Physics 2013-11-18 Olaf Kaczmarek , Edwin Laermann , Marcel Müller

The behavior of finite temperature planar electrodynamics is investigated. We calculate the static as well as dynamic characteristic functions using real time formalism. The temperature and density dependence of dielectric and permeability…

High Energy Physics - Theory · Physics 2015-06-26 G. Gat , R. Ray

We calculate the Debye screening mass in thermal, dense and magnetized QCD matter in the frame of resummed perturbation theory. In the limit of zero temperature, when the Landau energy level and Fermi surface of quarks match each other…

High Energy Physics - Phenomenology · Physics 2023-07-07 Guojun Huang , Jiaxing Zhao , Pengfei Zhuang

Effects of finite-temperature quasiparticle self-energy corrections to x-ray absorption spectra are investigated within the finite-temperature quasiparticle local density GW approximation up to temperatures $T$ of order the Fermi…

Materials Science · Physics 2023-03-29 Tun S. Tan , J. J. Kas , S. B. Trickey , J. J. Rehr

We investigate the thermodynamics of a crystalline solid applying q-deformed algebra of Fibonacci oscillators through the generalized Fibonacci sequence of two real and independent deformation parameters q1 and q2. We based part of our…

Statistical Mechanics · Physics 2015-10-28 Andre A. Marinho , Francisco A. Brito , Carlos Chesman

Nuclear deformation effects are theoretically investigated in terms of deformation corrections of the electronic binding and transition energies, $g$ factor, and hyperfine splitting constant. By solving the Dirac equation twice, with the…

Atomic Physics · Physics 2023-09-15 Zewen Sun , Igor A. Valuev , Natalia S. Oreshkina

It is known from the early work of May in 1964 that ideal Bose gas do not exhibit condensation phenomenon in two dimensions. On the other hand, it is also known that the thermostatistics arising from q-deformed oscillator algebra has no…

Statistical Mechanics · Physics 2015-05-13 A. Lavagno , P. Narayana Swamy
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